Let n be a natural number such that 1/2 + 1/3 + 1/7 + 1/n is also a natural number. Which of the following statements is not true ?

Answer: Option D

$$\begin{array}{rl}& =\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{7}\right)+\frac{1}{n}\\ & =\frac{\left(21+14+6\right)}{42}+\frac{1}{n}\\ & =\left(\frac{1}{42}+\frac{1}{n}\right)\end{array}$$
This sum is a natural number when n = 42
So, each one of the statements that 2 divides ; 3 divides n and 7 divides n is true.
Hence, n > 84 is false